According to the documentation the Android OS can kill the activity at the rear of the backstack.
So, say for example I have an app and open the Main Activity (let\
Good explanation can be viewed here from 2:50 http://www.infoq.com/presentations/Android-Design
Here are some instructions for those who want to test this issue manually: Create android v.4 emulator, then go to settings -> developer settings -> disable background tasks. Then create sample android project with 2 activities, declare static variable in activity A, initialize it in onCreate() method. Place a button in activity A that starts activity B. In Activity B's onCreate() method print the value of A.staticVar to logcat.
Launch the project - activity A appears. Hit the button - activity B appears, value of static variable is printed to logcat. Press the home button and launch any other program - your sample project process will be killed (because you have disabled background processes). Now long-press on home button - you will see the list of recently launched programs. Select your sample project - OS will try to recover your project's activities back-stack and recreate last running activity B. But at this step program will crash with NullPointerException because A.staticVar will be null, and we are trying to print it to logcat.